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Finding the Fourth Proportional to 21,244.52, 31,872.93 and 9,397.83

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Solution

The fourth proportional to 21,244.52, 31,872.93 and 9,397.83 is: 14,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,244.52 : 31,872.93 = 9,397.83 : x
  2. Step 2: Convert to fraction form
    21,244.52/31,872.93 = 9,397.83/x
  3. Step 3: Cross multiply
    21,244.52x = 31,872.93 × 9,397.83
  4. Step 4: Simplify right side
    21,244.52x = 299,536,462.02
  5. Step 5: Solve for x
    x = 299,536,462.02/21,244.52
  6. Step 6: Final answer
    x = 14,099.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.